Some limits of lattice and lifting structures

Andreas Klappenecker

doi:10.1117/12.366823

26 October 1999 Some limits of lattice and lifting structures

Andreas Klappenecker

Proceedings Volume 3813, Wavelet Applications in Signal and Image Processing VII; (1999) https://doi.org/10.1117/12.366823
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

We discuss the relation between lattice and ladder structures for two-channel filter banks. It is well-known that both lattice and ladder steps are powerful enough to generate all perfect reconstructing filter banks provided that the filter coefficients may take arbitrary values in a field. However, we will show that the two concepts differ in general. We relate the two concepts by looking at three properties of the coefficient ring. We discuss a number of incompleteness results of these parametrizations and point out some connections to open problems in group theory.

Citation Download Citation

Andreas Klappenecker "Some limits of lattice and lifting structures", Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); https://doi.org/10.1117/12.366823

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